On one tank of gas Charlie will drive 612 km
At a cost of 149.9, Charlie will fill the tank with the sum of 8994
Annual cost of filling the tank 467688
How to find how far Charlie can drive on one tank of gasInformation from the problem have it that the efficiency if the Volkswagen golf is 10.2 km/L
Hence, on one liter rides 10.2 km and on a tank which is 60 L Charlie will ride
= 60 * 10.2
= 612 km
Cost of filling the tank
The cost per liter is 149.9 for 60 L we have
= 149.9 * 60
= 8994
Filling the tank once week, the cost for filling in one year is
1 year is 52 weeks
= 8994 * 52
= 467688
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Consider the given functions.
х
f(x)
h(x)
A
-2
48
4
-1
24
2
0
12
g(x) = 2* - 5
1
6
-4
IX
d
2
2
3
1.5
3
Select the true statement regarding the end behavior of the functions.
ОА.
As the value of x increases, g is the only function to approach 0.
As the value of x increases, fand h both approach positive infinity
OB.
Ос.
As the value of x increases, fis the only function to approach o.
As the value of x increases, fand g both approach positive infinity
D
Answer:
d
Step-by-step explanation:
The as the value of x increases, f and g both approach positive infinity.
What are Functions?
Functions describe relationship between set of variables.
The given g function, g(x)g(x) = 2ˣ - 5
As the values of x increases, the value of g increases to positive infinite.
The given f function, f(x)From the given table of function f, as the value of x increases, f approaches positive infinity.
Thus, the as the value of x increases, f and g both approach positive infinity.
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The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
Delpha buys 20 packs of gum. Three fifths of the packs contain bubble gum. How many packs of bubble gum does Delpha buy?
Answer:
12
Step-by-step explanation:
Find 3/5 of 20, or 60% of 20
60%=0.60
0.60*20=12
So Delpha buys 12 packs of bubble gum.
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is p(x) = 3(x - 1)² - 2.
Option C is the correct answer.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
From the table,
From p(x) = 10 to p(x) = -2 the value of p(x) is decreasing and from p(x) = -2 to p(x) = 46 it is increasing.
So,
The vertex is (1, -2).
The vertex form of p(x).
p(x) = a ( x - h)² + k
Where (h, k) is the vertex.
Now,
(1, -2) = (h, k)
Make (0, 1) = (x, p(x))
1 = a (0 - 1)² + (-2)
1 = a - 2
a = 1 + 2
a = 3
Thus,
The vertex equation of p(x).
p(x) = 3(x - 1)² - 2
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Susan invested a total of $9000 in two accounts. One account pays 3% interest and the other account pays 6% interest. The total return from both accounts was $450.
The money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, Susan invested a total of $9000 in two account.
One account pays 3% interest and the other account pays 6% interest.
Let the money invested in a account with 3% interest be x.
Then, the money invested in a account with 6% interest be 9000-x.
The total return from both accounts was $450.
Here, (x×3×1)/100 + ((9000-x)×6×1)/100 =450
3x+54000-6x=45000
54000-3x=45000
3x=9000
x=$3000
So, 9000-x=$6000
Therefore, the money invested in a account with 3% interest is $3000 and the money invested in a account with 6% interest is $6000.
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Antonio Ruiz pays a monthly premium of $175 for health insurance. He can purchase dental care and vision
care insurance for his family at an additional cost. The dental premium is $595 and the vision premium is
$195 per year. What is his total monthly premium for all his insurance?
$256.12
$240.83
b. $527.12
d. $238.41
If 19 is subtracted from three times a number, the difference is 110. What is the number? *
Answer:
Step-by-step explanation:
Three of you is 3 Sarahs. 3 times a number is 3n, or 3-whatever letter you pick. Subtract 19 from that...
3n - 19
If it confuses you, pick an actual number to use. 19 subtracted from 3 times 6.
3(6) - 19
Instead of solving and getting 1, just replace the 6 with a letter. Most people like to use x, but I used n since "number" starts with n.
3n - 19
Which scale of measurement most reasonably applies to Confidence in Science?
The scale of measurement most reasonably applies to Confidence in Science is ordinal.
What are scales of measurement?The basic four scales used in measurements are continuous, discreet, ordinal and nominal. The continuous measurement scale is used to take the values in between a permitted range. For example weight, height, sales, rate etc.
In discreet measurements only take the whole numbers within a permitted range. For example, count of people, number of objects etc. Ordinary, logically ordered categorical values. For example, the size of clothes,
Nominal measurements include not logically ordered categorical values. For example, nationality, language etc. The scale of measurements most reasonably applies to Confidence in Science is ordinal.
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18
H
Ε
5
8
10
12
P
12
R
Similar or not similar?
[ Select]
Why?
[ Select)
V
If 20 articles cost ? 90, then the cost of 9 articles is ?
? 45
? 4.50
? 40.50
? 42
Answer:
40.50 is correct answer according to me
In a random survey, people were asked how many pairs of shoes they own.
The results are recorded in the graph below.
Pairs of Shoes
Stem
Leaf
0
3 7
1
1 2 7
2.
1 5 6 8
3
1 3 7
4
O 5 8
5
1 3 7
What is the median number of pairs of shoes in this survey?
Answer:
29.5
Step-by-step explanation:
median number is the middle number
A bakery sold a total of 500 cupcakes in a day, and 360 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?
Answer:
72%
Hope this Helps! :)
Answer:
72%
Step-by-step explanation:
360. X
500. 100
you times 360 with 100= 36,000 then u divide by 500= 72%
For problems 1–4, solve the given system of equations using either substitution or elimination.
1. -3, -2
2. 1, -7
3. 1, 2.5
4. infinitely many solutions
List the integers that satisfy both these inequality. 2x+9<0 x>-12
Answer:
Given:
2x + 9 < 0 ⇒ 2x < - 9 ⇒ x < - 4.5x > -12Combined we have:
-12 < x < - 4.5The integers in the same interval are:
x ∈ {-11, -10, -9, -8, -7, -6, -5}singular noun or plural noun sentenses
Answer:
Singlular: Hello, this is my cat
Plural: Hello these are my dogs
Step-by-step explanation:
Singlular sentances are just one thing like 1 cat or 1 dog, Plural sentances are more than one thing like cats and dogs
A city has 22 radio stations, including 8 classical stations. What is the probability that a randomly chosen radio station in this city is a classical station
IN THE SIMPLEST FRACTION
Answer:
4/11
Step-by-step explanation:
8/22 chance and simplified gives the answer.
The positive number a is 2,352% of the sum of the positive numbers b and c, and b is 84% of c. What percent of b is a?
Answer: We can start by using the information given to set up an equation. We know that:
a = 2,352% of (b + c)
b = 84% of c
We can express the first equation in terms of percentages by dividing both sides by 100:
a = 23.52(b + c)
We can also express the second equation in terms of percentages by dividing both sides by 100:
b = 0.84c
Now we can substitute the second equation into the first equation:
a = 23.52(0.84c + c)
a = 23.52(1.84c)
So a = 43.1184c
To find the percentage of b, we divide b by a and multiply by 100:
percentage of b = (b / a) * 100
Now we substitute values of a and b
percentage of b = (0.84c / 43.1184c) * 100
percentage of b = (0.84 / 43.1184) * 100
Which simplify to
percentage of b = 1.9425 %
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
multiply the two numbers on a calculator
Step-by-step explanation:
give brainlest please
Answer:
Using Pythagorean Theorem: a^2 + b^2 = c^2
Answer is 8.2
1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational
Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.
What are whole numbers?All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.
What are rational numbers?A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.
The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.
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A circle has its center at (2,3). One point on the circle is (-2,5). Which is
another point that lies on the circle?
two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences. Determine the formula for the nth term.
Answer:
65+42*(n-1)
Step-by-step explanation:
aₙ = 65+42*(n-1)
65, 107, 149, 191, .....
PLS HELP
How many vertices does the polyhedron below have?
a. 8
b. 10
c. 12
d. 20
Answer:
it have 15 edges and 10 verticle
Answer:
B. 10
Step-by-step explanation:
I believe it is ten I hope I'm right sorry if I'm not hope this helps.
PLEASE HELP ME DUE TODAY NOW ASAP THANKS
The rate of change of the end points of the line is 32/10
What is slope?
Slope is defined as the rate of change of y with respect to x. Also it is defined as increase in y over increase in x or decrease in y over decrease in x
slope is denoted by the formula = Δy/Δx
Where Δy = change in y
Δx= change in x
The given points are (-9, -2) and (5, 119/5)
The slope of the end points (119/5 + 21)/(5+9)
The slope is (119+105)/5
M= 44.8/14
The slope is 3.2 = 32/10
Therefore the rate of change is given as 32/10
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help me pls
Angle Relationships
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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2+2........................
Answer:
omg its 4
Step-by-step explanation:
But can you help me on my question?
what is the area of the figure?
Answer:
Answer is 4.
Step-by-step explanation:
Why?
Heres the explanation:
1, 1, 1, 1, = 4
Cheers :)
I need urgent help with this pls
What is an angle that is adjacent to DEA?
Answer:
CED or AEB
Step-by-step explanation:
adjacent angles share the same vertex and one side so it will be either CED or AEB
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for pink, 1/15 for white, 1/20 for blue, and 1/5 for black. What is the probability of pulling a black or pink card, written as a reduced fraction?
Answer:
wouldn't it be 1/25 black??
cuanto es 36x1000 por fa
Answer:
[tex]36 * 1000 = 36000[/tex]
Step-by-step explanation:
Have a nice day!
¡Que tenga un lindo día!
Answer:36000
Step-by-step explanatio:ESPERO TE AYUDE
PLease help very easy